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Finding the Fourth Proportional to 6,137.84, 9,199.58 and 2,843.98

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Solution

The fourth proportional to 6,137.84, 9,199.58 and 2,843.98 is: 4,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.84 : 9,199.58 = 2,843.98 : x
  2. Step 2: Convert to fraction form
    6,137.84/9,199.58 = 2,843.98/x
  3. Step 3: Cross multiply
    6,137.84x = 9,199.58 × 2,843.98
  4. Step 4: Simplify right side
    6,137.84x = 26,163,384.31
  5. Step 5: Solve for x
    x = 26,163,384.31/6,137.84
  6. Step 6: Final answer
    x = 4,262.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.